Question

Calcula la distancia entre los puntos PQ, OS, NR, OM, NP, RM, NO, RP, MP, OQ, RO,RS,
QN,PO​

Answer 1

Las distancias entre los puntos son:

PQ = 2√5; OS = 5; NR = 4√2; OM = 5√2; NP = √29; RM = √5; NO = 3;

RP = √37; MP = 4; OQ = √10; RO = √65; RS = √58;  QN = 1; PO = ​√26

La formula para calcular la distancia entre dos puntos es la siguiente:

d = √[(x₂-x₁)²+(y₂-y₁)²]

Siendo;

M(-2, 4); N(0, -1); R(-4, 3); S(-1, -4);O(3, -1); P(2, 4); Q(0, 0);  

d(PQ) = √[(0-2)²+(0-4)²] = 2√5

d(OS) = √[(-1-3)²+(-4+1)²] = 5

d(NR) = √[(-4-0)²+(3+1)²] = 4√2

d(OM) = √[(-2-3)²+(4+1)²] = 5√2

d(NP) = √[(2-0)²+(4+1)²] = √29

d(RM) = √[(-2+4)²+(4-3)²] = √5

d(NO) = √[(3-0)²+(-1+1)²] = 3

d(RP) = √[(2+4)²+(4-3)²] = √37

d(MP) = √[(2+2)²+(4-4)²] = 4

d(OQ) = √[(0-3)²+(0+1)²] = √10

d(RO) = √[(3+4)²+(-1-3)²] = √65

d(RS) = √[(-1+4)²+(-4-3)²] = √58

d(QN) = √[(0-0)²+(-1-0)²] = 1

d(PO) = √[(3-2)²+(-1-4)²] = √26